Share
Explore BrainMass

Integrals

Consider the definite integral I

4
I = ∫ e^x dx
0

1. evaluate the integral I directly by use of a suitable anti-derivative.

2. evaluate the integral I by use of a suitable Riemann sum and formally limiting that sum

3. evaluate the integral I by use of the trapezoidal rule:
a) I T,2 - for 2 sub-intervals
b) I T,4 - for 4 sub-intervals
c) I T,8 - for 8 sub-intervals

4. evaluate the intergral I by use of simpson's rule:
a) I S,2 - for 2 sub-intervals
b) I S,4 - for 4 sub-intervals
c) I S,8 - for 8 sub-intervals

$2.19